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225714464516313 = 325916310663244567
BaseRepresentation
bin110011010100100100111110…
…011110100110100011011001
31002121012002111010020122112200
4303110210332132212203121
5214041101210404010223
62120015443222200413
765354221563312603
oct6324447636464331
91077162433218480
10225714464516313
1165a12a6a945753
1221394b85583109
1398c3a236c2aa6
143da48d19a2173
151b165404dba43
hexcd493e7a68d9

225714464516313 has 48 divisors (see below), whose sum is σ = 333624717603840. Its totient is φ = 147003954324192.

The previous prime is 225714464516293. The next prime is 225714464516339. The reversal of 225714464516313 is 313615464417522.

225714464516313 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 4 + 464 + 5 + 163 + 13 = 666.

It is not a de Polignac number, because 225714464516313 - 26 = 225714464516249 is a prime.

It is a super-2 number, since 2×2257144645163132 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225714464516313.

It is not an unprimeable number, because it can be changed into a prime (225714464518313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922792356 + ... + 923036922.

It is an arithmetic number, because the mean of its divisors is an integer number (6950514950080).

Almost surely, 2225714464516313 is an apocalyptic number.

It is an amenable number.

225714464516313 is a deficient number, since it is larger than the sum of its proper divisors (107910253087527).

225714464516313 is a wasteful number, since it uses less digits than its factorization.

225714464516313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255458 (or 255455 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 225714464516313 in words is "two hundred twenty-five trillion, seven hundred fourteen billion, four hundred sixty-four million, five hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 9 59 163 177 489 531 1467 9617 10663 28851 31989 86553 95967 244567 629117 733701 1738069 1887351 2201103 5214207 5662053 14429453 15642621 39864421 43288359 102546071 119593263 129865077 307638213 358779789 922914639 2352000839 2607817921 7056002517 7823453763 21168007551 23470361289 153861257339 425074321123 461583772017 1275222963369 1384751316051 3825668890107 25079384946257 75238154838771 225714464516313